pidgevoltron2008
pidgevoltron2008 pidgevoltron2008
  • 01-12-2020
  • Mathematics
contestada

If y varies directly with x, and y = 2 when x = −4, what is the value of y when x = 20 ?

Respuesta :

mussamussa611
mussamussa611 mussamussa611
  • 01-12-2020

Answer:

y=kx

2=k.-4

k=-1/2

then

y=-1/2×20

y=-10

Answer Link
jimrgrant1 jimrgrant1
  • 01-12-2020

Answer:

y = - 10

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = - 4, that is

2 = - 4k ( divide both sides by - 4 )

[tex]\frac{2}{-4}[/tex] = k, that is

k = - [tex]\frac{1}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 20, then

y = - [tex]\frac{1}{2}[/tex] × 20 = - 10

Answer Link

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